Economy fares start at $599 to Athens, $649 to Milan, $769 to Dubai, $799 to Mumbai, $849 to Bangladesh, $899 to Hyderabad, and $799 to Mumbai. Athens fares are from Newark International Airport, and Milan fares are from John F. Kennedy International Airport only.

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Business class starts at $2,999 to Athens and Milan, $3,899 to Hyderabad and Mumbai, $4,199 to Bangladesh, and $5,349 to Dubai.

Travel dates are available from September through July of next year, depending on the destination and fare class, with some blackout dates around the winter holiday.

While not of the bargain basement variety, these fares offer in-flight amenities like fine wines, cocktails and hors d'oeuvres prepared by five-star chefs — and the in-flight entertainment system has more than 2,500 on-demand channels. And that's on top of 18-inch wide seats with 34 inches of seat pitch in economy. (Translation: They're comfortable.)

Business class passengers enjoy services like chauffeur service to and from the airport, among other perks.